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Second Order Local Analysis for 3D Reconstruction of Specular Surfaces

Savarese, Silvio and Chen, Min and Perona, Pietro (2002) Second Order Local Analysis for 3D Reconstruction of Specular Surfaces. In: First International Symposium on 3D Data Processing Visualization and Transmission. IEEE , Los Alamitos, CA, pp. 356-361. ISBN 0-7695-1521-4 . https://resolver.caltech.edu/CaltechAUTHORS:20111110-103508593

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Abstract

We analyze the problem of recovering the shape of a mirror surface. A calibrated scene composed of lines passing through a point is assumed. The lines are reflected by the mirror surface onto the image plane of a calibrated camera, where the intersection, orientation and curvature of such reflections are measured. The relationship between the local geometry of the surface around the point of reflection and the measurements is analyzed. We extend the analysis in [13, 14], where we recovered positions and normals and second order local geometry of a specular surface up to one unknown parameter. We show that, provided that we work in a neighborhood of a surface whose third order surface terms can be neglected, the second order parameter ambiguity can be solved by equating the curvatures observed for the reflected lines with those computed from analytical differentiation followed by a perspective projection.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/TDPVT.2002.1024083DOIArticle
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1024083&tag=1PublisherArticle
ORCID:
AuthorORCID
Perona, Pietro0000-0002-7583-5809
Additional Information:© 2002 IEEE. Issue Date: 2002; Date of Current Version: 07 November 2002.
Record Number:CaltechAUTHORS:20111110-103508593
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20111110-103508593
Official Citation:Savarese, S.; Min Chen; Perona, P.; , "Second order local analysis for 3D reconstruction of specular surfaces," 3D Data Processing Visualization and Transmission, 2002. Proceedings. First International Symposium on , vol., no., pp. 356- 361, 2002 doi: 10.1109/TDPVT.2002.1024083
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27734
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:10 Nov 2011 22:44
Last Modified:03 Oct 2019 03:26

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